\documentclass[a4paper,12pt]{article}
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% CROWDFUNDING REPLICATION FILES
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\usepackage[bitstream-charter]{mathdesign}
\usepackage{microtype}
\usepackage{setspace}
\usepackage{amsmath,amsthm}
\usepackage{graphicx}
\usepackage{pgfplots}\pgfplotsset{compat=1.12}
	\usetikzlibrary{calc}
	\usepgfplotslibrary{statistics}
\usepackage{soul}
\usepackage{dcolumn}\newcolumntype{d}[1]{D{.}{.}{#1}}
\usepackage{booktabs}

\usepackage[margin=1in]{geometry}


\begin{document}





\clearpage
\section*{Tables}

\vspace*{4cm}

% Table 1
% Data underlying Table 1 is copied directly from the paper, see Section 2.
\begin{table}[!ht]
\caption{Overview of projects in all treatments.}
\label{tab:overview}
\begin{tabular}{@{}ll@{}}
\toprule
Treatment\hspace*{1cm}	& Project characteristics \\
\midrule
BEN 			& 72$_{18}$, 84$_{24}$ \\
SEED72$^{\ast}$		& \underline{92$_{18}$}, 84$_{24}$ \\
SIA72			& 72$_{18}$, 84$_{24}$, 72$_{17}$ \\
SIX			& 72$_{18}$, 84$_{24}$, 74$_{16}$, 78$_{17}$, 86$_{22}$, 90$_{23}$ \\
SIXSEED78$^{\ast\ast}$ \phantom{wwwww}	& 72$_{18}$, 84$_{24}$, 74$_{16}$, \underline{98$_{17}$}, 86$_{22}$, 90$_{23}$ \\
\bottomrule
\multicolumn{2}{@{}p{1\textwidth}@{}}{\small $^{\ast}$\phantom{$\ast$} The underlined project differs from its related project under BEN by an anonymous initial contribution of 20 tokens as well as an increase in its threshold of 20 tokens, making the two projects formally equivalent.} \\
\multicolumn{2}{@{}l@{}}{\small $^{\ast\ast}$ Idem, but related to SIX rather than BEN.}
\end{tabular}
\footnotesize
\end{table}


% Table 2
\begin{table}[!ht]
\caption{\label{tab:welfare}Average number of thresholds reached, total contributions, and individual welfare across all treatments (using those 67 groups with at least five members that logged in on each of the four days).}
\begin{tabular*}{1\textwidth}{@{\hskip\tabcolsep\extracolsep\fill}l*{5}{D{.}{.}{-1}}}
\toprule
\input{tabledata/table2.tex}
\bottomrule
\end{tabular*}
\end{table}


% Table 3
\begin{table}[!ht]
\def\sym#1{\ifmmode^{#1}\else\(^{#1}\)\fi}
\caption{Project success as measured by total contributions and number of thresholds reached.\label{tab:regtotal}}
\begin{tabular*}{1\textwidth}{@{\hskip\tabcolsep\extracolsep\fill}l*{4}{D{.}{.}{-1}}}
\toprule
\input{tabledata/table3.tex}
\bottomrule
\end{tabular*}
\footnotesize \sym{*} \(p<0.10\), \sym{**} \(p<0.05\), \sym{***} \(p<0.01\).\\
\footnotesize Coefficient estimates from OLS regression models; standard errors in parentheses. All models are at the group level (using those 67 groups with at least five members that logged in on each of the four days). Contributions in (1) and~(3) equal the sum of contributions to all available projects (1) or BEN projects only (3). Similarly, thresholds in (2) and~(4) equal the sum of thresholds reached. Note that BEN is the omitted treatment category.
\end{table}


% Table 4
\begin{table}[!ht]
\def\sym#1{\ifmmode^{#1}\else\(^{#1}\)\fi}
\caption{Treatment impacts on project success of the target project.\label{tab:regseed}}
\begin{tabular*}{1\textwidth}{@{\hskip\tabcolsep\extracolsep\fill}l*{3}{d{-1}}}
\toprule
\input{tabledata/table4.tex}
\bottomrule
\end{tabular*}
\footnotesize \sym{*} \(p<0.10\), \sym{**} \(p<0.05\), \sym{***} \(p<0.01\)\\
\footnotesize Coefficient estimates from OLS regression models; standard errors in parentheses. All models are at the group level: 40 groups in Models (1) and (2) based on target project 72$_{18}$ (or $92_{18}$ when seeded) and 27 groups in Model (3) based on target project $78_{17}$ (or $98_{17}$ when seeded), making 67 groups in total (all those groups with at least five members that logged in on each of the four days). Contributions in Models (1) and~(3) equal the sum of contributions to the target project. Thresholds in Model (2) equal the sum of thresholds reached of the target project. BEN is the omitted reference treatment in Models~(1) and~(2) and SIX that in Model~(3).
\end{table}


% Table 5
\begin{table}[!ht]
\def\sym#1{\ifmmode^{#1}\else\(^{#1}\)\fi}
\caption{Impact of early contributions on project success, measured as the number of thresholds reached.\label{tab:2sls}}
\begin{tabular*}{1\textwidth}{@{\hskip\tabcolsep\extracolsep\fill}l*{3}{d{-1}}}
\toprule
\input{tabledata/table5a.tex}
\midrule
\input{tabledata/table5b.tex}
\bottomrule
\end{tabular*}
\footnotesize \sym{*} \(p<0.10\), \sym{**} \(p<0.05\), \sym{***} \(p<0.01\).\\
\footnotesize Coefficient estimates from 2SLS regression models for three cut-off points for `early' contributions (and robust standard errors in parentheses). All models are at the project level, excluding projects under treatment SIA72 (i.e.\ 218 projects). MANY and SEED represent dummy variables referring to whether a project is in a treatment with 6~projects (MANY=1) and whether a project is seeded (SEED=1).
\end{table}


% Table 6
\begin{table}[!ht]
\def\sym#1{\ifmmode^{#1}\else\(^{#1}\)\fi}
\caption{Results of the conservation experiment: Treatment impacts on project success of the target project.\label{tab:c-regseed}}
\begin{tabular*}{1\textwidth}{@{\hskip\tabcolsep\extracolsep\fill}l*{3}{d{-1}}}
\toprule
\input{tabledata/table6.tex}
\bottomrule
\end{tabular*}
\footnotesize \sym{*} \(p<0.10\), \sym{**} \(p<0.05\), \sym{***} \(p<0.01\)\\
\footnotesize Coefficient estimates from OLS regression models (and standard errors in parentheses). All models are at the group level: 35 groups with target project 72$_{18}$ (or $92_{18}$ when seeded). Contributions in~(1) equal the sum of contributions to the target project. Thresholds in~(2) equal the sum of thresholds reached of the target project. Treatment names represent dummy variables, with BEN as the omitted reference treatment.
\end{table}



% Table A1
\renewcommand{\thetable}{A1}
\begin{table}[!ht]
\def\sym#1{\ifmmode^{#1}\else\(^{#1}\)\fi}
\caption{\label{tab:rational}Mean values by seemingly irrational behavior across all treatments (using the data of those 290 subjects who logged in at least once on each consecutive day)}
\begin{tabular*}{1\textwidth}{@{\hskip\tabcolsep\extracolsep\fill}l*{3}{d{-1}}}
\toprule
\input{tabledata/tableA1.tex}
\bottomrule
\end{tabular*}
\footnotesize Mean values of scores on selected survey items separated by whether or not subjects have displayed any of the three types of seemingly irrational behavior as described in the main text. 1-5 Likert scale items range from `1: Completely disagree' to `5: Completely agree'. Note that `Game: Easy to play' was measured using a 1-4 Likert scale ranging from `1: Disagree' to `4: Agree'. The third column displays the $p$ value of the associated Mann-Whitney rank-sum tests.
\end{table}



% Table B1
\renewcommand{\thetable}{B1}
% Data underlying Table B1 are copied directly from the Stata output, see file "tables.do"
\begin{table}[!ht]
\caption{\label{tab:login}Frequency of days logged in across all treatments (using the data
of all 450 subjects in our experiment)}
\begin{tabular*}{1\textwidth}{@{\hskip\tabcolsep\extracolsep\fill}lr}
\toprule
Number of separate login days  & Frequency \\
\midrule
0	& 44	\\
1	& 28	\\
2	& 37	\\
3	& 51	\\
4	& 290	\\
\bottomrule
\end{tabular*}
\end{table}


% Table B2
\renewcommand{\thetable}{B2}
\begin{table}[!ht]
\def\sym#1{\ifmmode^{#1}\else\(^{#1}\)\fi}
\caption{\label{tab:attrition}Mean values by login days across all treatments (using the data
of all 406 subjects who logged in at least once)}
\begin{tabular*}{1\textwidth}{@{\hskip\tabcolsep\extracolsep\fill}l*{3}{d{-1}}}
\toprule
\input{tabledata/tableB2.tex}
\bottomrule
\end{tabular*}
\end{table}









\clearpage
\section*{Figures}

\vspace*{4cm}

\pgfplotscreateplotcyclelist{exotic2}{%
blue,	fill=blue!40!white\\%
red,	fill=red!40!white\\%
teal,	fill=teal!30!white\\%
teal,	fill=teal!20!white\\%
teal,	fill=teal!10!white\\%
teal,	fill=teal! 0!white\\%
}



% Figure 1
\begin{figure}[!ht]
\centering
\begin{tikzpicture}
\begin{axis}[
axis on top,
axis x line*=middle,axis y line*=left,
width=15cm,height=6cm,
ybar interval,ylabel={Frequency},xlabel={Hours elapsed since the start of the game},
xtick={0,16,40,64,86},
xticklabel=
\pgfmathprintnumber\tick--\pgfmathprintnumber\nexttick
]
\addplot+[hist={bins=86,data min=0,data max=86}]
table[y index=0] {figuredata/fig1.txt};
\node at ( 8,113) {\footnotesize\textcolor{gray}{Day 1}};
\node at (28,113) {\footnotesize\textcolor{gray}{Day 2}};
\node at (52,113) {\footnotesize\textcolor{gray}{Day 3}};
\node at (75,113) {\footnotesize\textcolor{gray}{Day 4}};
\end{axis}
\end{tikzpicture}
\caption{\label{fig:timinghistogram}Investment frequency across all treatments (using the data of those 290 subjects who logged in at least once on each consecutive day) in one-hour bins. Hour~0 corresponds to THU 8 a.m.\ and hour~86 corresponds to SUN 10 p.m.}
\end{figure}


% Figure 2
\begin{figure}[!ht]
\centering
\begin{tikzpicture}
\begin{axis}[
axis on top,
axis x line*=middle,axis y line*=left,
width=9cm,height=6cm,
ybar,ylabel={Frequency},xlabel={Tokens invested},
xtick={0,5,10,20,34},
x tick style={shift={(axis cs:0.5,0)}},
]
\addplot+[hist={bins=35,data max=35}]
table[y index=0] {figuredata/fig2.txt};
\end{axis}
\end{tikzpicture}
\caption{\label{fig:bethistogram}Frequency distribution of the number of tokens invested across all treatments, for all 290 subjects who logged in on each of the session's four days.}
\end{figure}


% Figure 3
\begin{figure}[!ht]
\centering
\begin{tikzpicture}
\begin{axis}[
axis on top,
axis x line*=middle,axis y line*=left,
width=15cm,height=6cm,
ybar,ylabel={Frequency},xlabel={Project over-investment},
xtick={-90,-34,0,34},
]
\addplot+[hist={bins=125,data min=-90,data max=34}]
table[y index=0] {figuredata/fig3part1.txt};
\addplot+[hist={bins=125,data min=-90,data max=34}]
table[y index=0] {figuredata/fig3part2.txt};
\node at (-45,30) {\footnotesize\textcolor{gray}{Under-investment}};
\node at (24,30) {\footnotesize\textcolor{gray}{Over-investment}};
\end{axis}
\end{tikzpicture}
\caption{\label{fig:overinvestmenthistogram}Frequencies of project over-investment across all treatments, using all 254 projects the 67 groups with five or more active group members could have invested in. Red bars mark the 16 projects for which one or more members could have unilaterally made the project successful, but failed to do so (i.e., those projects that violated the so-called \textit{No Deviation Constraint}).}
\end{figure}


% Figure 4
\begin{figure}[!ht]
\centering
\begin{tikzpicture}
\begin{axis}[
axis on top,
axis x line*=middle,axis y line*=left,
width=9cm,height=6cm,
ybar,ylabel={Frequency},xlabel={Payoff in tokens},
xtick={18,24,34,42,62},
x tick style={shift={(axis cs:18.5,0)}},
]
\addplot+[hist={bins=45,data max=63}]
table[y index=0] {figuredata/fig4.txt};
\end{axis}
\end{tikzpicture}
\caption{\label{fig:payoffhistogram}Payoff frequency in tokens across all treatments (using the data of those 290 subjects who logged in at least once on each consecutive day).}
\end{figure}


% Figure 5
\begin{figure}[!ht]
\centering
\begin{tikzpicture}
\begin{axis}[
	name=plot1,
	axis on top,
	axis x line*=middle,axis y line*=left,
	clip=false,
	height=5cm,width=1\textwidth,
	ybar,ylabel={\small Thresholds reached},
	ymin=0,ymax=1,
	bar width=7pt,
	enlarge x limits=0.2,
	legend columns=3,
	legend style={
		draw=none,
		font=\footnotesize,
		at={(0.94,0.80)},
		anchor=south east,
		cells={anchor=west},
		},	
	legend image code/.code={\draw[#1] (0cm,-0.1cm) rectangle (7pt,7pt);},
		%single bar in legend rather than two
	symbolic x coords={BEN,SEED72,SIA72,SIX,SIXSEED78},
	xtick=\empty,xtick style={draw=none},
	cycle list name=exotic2,
	]
\addplot+ table[header=false, x index=0, y index=1] {figuredata/fig5part1.txt};
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\addlegendimage{legend image code/.code={\draw[
	teal,
	right color=teal! 0!white,
	left color=teal!40!white]
	(0cm,-0.1cm) rectangle (17pt,7pt);}}
		%gradient in 3rd legend image
\addplot+ table[header=false, x index=0, y index=3] {figuredata/fig5part1.txt};
\addplot+ table[header=false, x index=0, y index=4] {figuredata/fig5part1.txt};
\addplot+ table[header=false, x index=0, y index=5] {figuredata/fig5part1.txt};
\addplot+ table[header=false, x index=0, y index=6] {figuredata/fig5part1.txt};
\legend{72$_{18}$, 84$_{24}$, dominated projects, , , }
\end{axis}
\begin{axis}[
	at={($(plot1.south)-(0,0.7cm)$)},anchor=north,
	axis on top,
	axis x line*=middle,axis y line*=left,
	clip=false,
	height=5cm,width=1\textwidth,
	ybar,ylabel={\small Total contributions},
	ymin=0,ymax=100,
	bar width=7pt,
	enlarge x limits=0.2,
	x tick label style={anchor=north west,font=\small, xshift=-30pt},
	symbolic x coords={BEN,SEED72,SIA72,SIX,SIXSEED78},
	xtick=data,
	xtick style={draw=none},
	cycle list name=exotic2,
	]
\addplot+ table[header=false, x index=0, y index=1] {figuredata/fig5part2.txt};
\addplot+ table[header=false, x index=0, y index=2] {figuredata/fig5part2.txt};
\addplot+ table[header=false, x index=0, y index=3] {figuredata/fig5part2.txt};
\addplot+ table[header=false, x index=0, y index=4] {figuredata/fig5part2.txt};
\addplot+ table[header=false, x index=0, y index=5] {figuredata/fig5part2.txt};
\addplot+ table[header=false, x index=0, y index=6] {figuredata/fig5part2.txt};
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			node[inner sep=2pt,gray,pos=0.5,fill=white] {seeded};
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			node[inner sep=2pt,gray,pos=0.75,fill=white] {sia};
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			node[inner sep=2pt,gray,pos=0.75,fill=white] {seeded};
%these are for the bottom chart
\node at (axis cs:{[normalized]-0.312},-1) {\tiny{|}};
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\node at (axis cs:{[normalized]0.68},-1) {\tiny{|}};
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\node at (axis cs:{[normalized]2.69},-1) {\tiny{|}};
\node at (axis cs:{[normalized]2.82},-1) {\tiny{|}};
\node at (axis cs:{[normalized]2.942},-1) {\tiny{|}};
\node at (axis cs:{[normalized]3.068},-1) {\tiny{|}};
\node at (axis cs:{[normalized]3.194},-1) {\tiny{|}};
\node at (axis cs:{[normalized]3.32},-1) {\tiny{|}};
\node at (axis cs:{[normalized]3.696},-1) {\tiny{|}};
\node at (axis cs:{[normalized]3.822},-1) {\tiny{|}};
\node at (axis cs:{[normalized]3.946},-1) {\tiny{|}};
\node at (axis cs:{[normalized]4.072},-1) {\tiny{|}};
\node at (axis cs:{[normalized]4.198},-1) {\tiny{|}};
\node at (axis cs:{[normalized]4.32},-1) {\tiny{|}};
%these are for the top chart
\node at (axis cs:{[normalized]-0.312},119) {\tiny{|}};
\node at (axis cs:{[normalized]-0.18},119) {\tiny{|}};
\node at (axis cs:{[normalized]0.68},119) {\tiny{|}};
\node at (axis cs:{[normalized]0.82},119) {\tiny{|}};
\node at (axis cs:{[normalized]1.70},119) {\tiny{|}};
\node at (axis cs:{[normalized]1.82},119) {\tiny{|}};
\node at (axis cs:{[normalized]1.94},119) {\tiny{|}};
\node at (axis cs:{[normalized]2.69},119) {\tiny{|}};
\node at (axis cs:{[normalized]2.82},119) {\tiny{|}};
\node at (axis cs:{[normalized]2.942},119) {\tiny{|}};
\node at (axis cs:{[normalized]3.068},119) {\tiny{|}};
\node at (axis cs:{[normalized]3.194},119) {\tiny{|}};
\node at (axis cs:{[normalized]3.32},119) {\tiny{|}};
\node at (axis cs:{[normalized]3.696},119) {\tiny{|}};
\node at (axis cs:{[normalized]3.822},119) {\tiny{|}};
\node at (axis cs:{[normalized]3.946},119) {\tiny{|}};
\node at (axis cs:{[normalized]4.072},119) {\tiny{|}};
\node at (axis cs:{[normalized]4.196},119) {\tiny{|}};
\node at (axis cs:{[normalized]4.32},119) {\tiny{|}};
\end{axis}
\end{tikzpicture}
\caption{\label{fig:barchart}Average number of project thresholds reached (top panel) and total contributions (bottom panel) across all treatments (using those 67 groups with at least five members that logged in on each of the four days), separated by project.}
\end{figure}


% Figure 6
\begin{figure}[!ht]
\centering
\begin{tikzpicture}
\begin{axis}[name=plot1,
	boxplot/draw direction=y,
	ymin=0,ymax=90,axis x line*=middle,axis y line*=left,
	width=5cm,height=8cm,enlarge x limits=0.5,
	xtick={0,1},ylabel={Early contributions},xlabel={Project success}] 
\addplot+[boxplot={draw position=0},style={thick,mark=o,every mark/.append style={mark size=1pt}}] table[y index=0]{figuredata/fig6-5hrs0.txt};
\addplot+[boxplot={draw position=1},style={thick,mark=o,every mark/.append style={mark size=1pt}}] table[y index=0]{figuredata/fig6-5hrs1.txt};
	\node[align=left] at ( -0.2,75) {\footnotesize \textcolor{gray}{5 hours}\\ \footnotesize \textcolor{gray}{$\rho=0.42$}};
\end{axis} 
\begin{axis}[name=plot2,at={($(plot1.east)+(1cm,0)$)},anchor=west,
	boxplot/draw direction=y,
	ymin=0,ymax=90,axis x line*=middle,axis y line*=left,
	width=5cm,height=8cm,enlarge x limits=0.5,
	xtick={0,1},ytick=\empty,xlabel={Project success}]
\addplot+[boxplot={draw position=0},style={thick,mark=o,every mark/.append style={mark size=1pt}}] table[y index=0]{figuredata/fig6-10hrs0.txt};
\addplot+[boxplot={draw position=1},style={thick,mark=o,every mark/.append style={mark size=1pt}}] table[y index=0]{figuredata/fig6-10hrs1.txt};
	\node[align=left] at ( -0.2,75) {\footnotesize \textcolor{gray}{10 hours}\\ \footnotesize \textcolor{gray}{$\rho=0.51$}};
\end{axis}
\begin{axis}[name=plot3,at={($(plot2.east)+(1cm,0)$)},anchor=west,
	boxplot/draw direction=y,
	ymin=0,ymax=90,axis x line*=middle,axis y line*=left,
	width=5cm,height=8cm,enlarge x limits=0.5,
	xtick={0,1},ytick=\empty,xlabel={Project success}]
\addplot+[boxplot={draw position=0},style={thick,mark=o,every mark/.append style={mark size=1pt}}] table[y index=0]{figuredata/fig6-15hrs0.txt};
\addplot+[boxplot={draw position=1},style={thick,mark=o,every mark/.append style={mark size=1pt}}] table[y index=0]{figuredata/fig6-15hrs1.txt};
	\node[align=left] at ( -0.2,75) {\footnotesize \textcolor{gray}{15 hours}\\ \footnotesize \textcolor{gray}{$\rho=0.65$}};
\end{axis}
\end{tikzpicture}
\caption{\label{fig:5hours}Box plots of early contributions against project success for all 254 projects (all those projects eligible for funding in the 67 groups of which at least five members logged in on each of the four days), as well as the related Spearman's $\rho$, for three different measures of `early'.}
\end{figure}




% Figure 7
\begin{figure}[!ht]
\centering
\begin{tikzpicture}
\begin{axis}[
	name=plot3,
	axis on top,
	axis x line*=middle,axis y line*=left,
	clip=false,
	height=5cm,width=0.5\textwidth,
	ybar,ylabel={\small Thresholds reached},
	ymin=0,ymax=1,
	bar width=7pt,
	enlarge x limits=0.2,
	legend columns=3,
	legend style={
		draw=none,
		font=\footnotesize,
		at={(0.94,0.80)},
		anchor=south east,
		cells={anchor=west},
		},
	legend image code/.code={\draw[#1] (0cm,-0.1cm) rectangle (7pt,7pt);},
			%single bar in legend rather than two
	symbolic x coords={BEN,SEED72,SIA72},
	xtick=\empty,xtick style={draw=none},
	cycle list name=exotic2,
	]
\addplot+ table[header=false, x index=0, y index=1] {figuredata/fig7part1.txt};
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\addplot+ table[header=false, x index=0, y index=3] {figuredata/fig7part1.txt};
\legend{72$_{18}$, 84$_{24}$, 72$_{17}$}
\end{axis}
\begin{axis}[
	at={($(plot3.south)-(0,0.7cm)$)},anchor=north,
	axis on top,
	axis x line*=middle,axis y line*=left,
	clip=false,
	height=5cm,width=0.5\textwidth,
	ybar,ylabel={\small Total contributions},
	ymin=0,ymax=100,
	bar width=7pt,
	enlarge x limits=0.2,
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	symbolic x coords={BEN,SEED72,SIA72},
	xtick=data,xtick style={draw=none},
	cycle list name=exotic2,
	]
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%these are for the bottom chart
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%these are for the top chart
\node at (axis cs:{[normalized]-0.13},119) {\tiny{|}};
\node at (axis cs:{[normalized]-0.008},119) {\tiny{|}};
\node at (axis cs:{[normalized]0.86},119) {\tiny{|}};
\node at (axis cs:{[normalized]1.01},119) {\tiny{|}};
\node at (axis cs:{[normalized]1.86},119) {\tiny{|}};
\node at (axis cs:{[normalized]2.01},119) {\tiny{|}};
\node at (axis cs:{[normalized]2.14},119) {\tiny{|}};
\end{axis}
\end{tikzpicture}
\caption{Results of the conservation experiment: Average number of thresholds reached (top panel) and total contributions (bottom panel) across all treatments (i.e.\ 35 groups), separated by project.}
\end{figure}







\clearpage
\section*{Tables online appendix}

\vspace*{4cm}


% Table 4A
\renewcommand\thetable{4A}
\begin{table}[!ht]
\def\sym#1{\ifmmode^{#1}\else\(^{#1}\)\fi}
\caption{Treatment impacts on project success of the target project: differences. Compare Table~4.}
\begin{tabular*}{1\textwidth}{@{\hskip\tabcolsep\extracolsep\fill}l*{3}{d{-1}}}
\toprule
\input{tabledata/table4A.tex}
\bottomrule
\end{tabular*}
\footnotesize \sym{*} \(p<0.10\), \sym{**} \(p<0.05\), \sym{***} \(p<0.01\)\\
\footnotesize Coefficient estimates from OLS regression models (and standard errors in parentheses).
	All models are at the group level: 40 groups in Models (1) and (2) based on target project 72$_{18}$ (or $92_{18}$ when seeded) and 27 groups in Model (3) based on target project $78_{17}$ (or $98_{17}$ when seeded), making 67 groups in total. Contribution-difference in (1) and~(3) equals contributions to the target project minus the sum of contributions to all other available projects. Threshold-difference in (2) equals thresholds reached of the target project minus the sum of thresholds reached of all other available projects.	Treatment names represent dummy variables, with BEN as the omitted reference treatment for (1) and~(2) and SIX as the omitted reference treatment for~(3).
\end{table}


% Table 4B
\renewcommand\thetable{4B}
\begin{table}[!ht]
\def\sym#1{\ifmmode^{#1}\else\(^{#1}\)\fi}
\caption{Treatment impacts on project success of the target project: ratios. Compare Table~4.}
\begin{tabular*}{1\textwidth}{@{\hskip\tabcolsep\extracolsep\fill}l*{3}{d{-1}}}
\toprule
\input{tabledata/table4B.tex}
\bottomrule
\end{tabular*}
\footnotesize \sym{*} \(p<0.10\), \sym{**} \(p<0.05\), \sym{***} \(p<0.01\)\\
\footnotesize Coefficient estimates from OLS regression models (and standard errors in parentheses).
	All models are at the group level: 40 groups in Models (1) and (2) based on target project 72$_{18}$ (or $92_{18}$ when seeded) and 27 groups in Model (3) based on target project $78_{17}$ (or $98_{17}$ when seeded), making 67 groups in total. Note that ratios in thresholds could not be computed for 13 groups under Model (2) since these have a 0 denominator; therefore only 27 observations remain. Contribution-ratio in (1) and~(3) equals the ratio of contributions to the target project over the sum of contributions to all available projects per treatment. Threshold-ratio in (2) equals the ratio of thresholds reached of the target project over the sum of thresholds reached of all available projects per treatment. Treatment names represent dummy variables, with BEN as the omitted reference treatment for (1) and~(2) and SIX as the omitted reference treatment for~(3).
\end{table}



% Table 6A
\renewcommand\thetable{6A}
\begin{table}[!ht]
\def\sym#1{\ifmmode^{#1}\else\(^{#1}\)\fi}
\caption{Results of the conservation experiment: Treatment impacts on project success of the target project: differences. Compare Table~6.}
\begin{tabular*}{1\textwidth}{@{\hskip\tabcolsep\extracolsep\fill}l*{3}{d{-1}}}
\toprule
\input{tabledata/table6A.tex}
\bottomrule
\end{tabular*}
\footnotesize \sym{*} \(p<0.10\), \sym{**} \(p<0.05\), \sym{***} \(p<0.01\)\\
\footnotesize Coefficient estimates from OLS regression models (and standard errors in parentheses). All models are at the group level: 35 groups with target project 72$_{18}$ (or $92_{18}$ when seeded). Contribution-difference in~(1) equals contributions to the target project minus the sum of contributions to all other available projects. Threshold-difference in~(2) equals thresholds reached of the target project
		minus the sum of thresholds reached of all other available projects. Treatment names represent dummy variables, with BEN as the omitted reference treatment.
\end{table}


% Table 6B
\renewcommand\thetable{6B}
\begin{table}[!ht]
\def\sym#1{\ifmmode^{#1}\else\(^{#1}\)\fi}
\caption{Results of the conservation experiment: Treatment impacts on project success of the target project: ratios. Compare Table~6.}
\begin{tabular*}{1\textwidth}{@{\hskip\tabcolsep\extracolsep\fill}l*{3}{d{-1}}}
\toprule
\input{tabledata/table6B.tex}
\bottomrule
\end{tabular*}
\footnotesize \sym{*} \(p<0.10\), \sym{**} \(p<0.05\), \sym{***} \(p<0.01\)\\
\footnotesize Coefficient estimates from OLS regression models (and standard errors in parentheses). All models are at the group level: 35 groups with target project 72$_{18}$ (or $92_{18}$ when seeded). Note that ratios in thresholds could not be computed for 22 groups under Model (2) since these have a 0 denominator; therefore only 13 observations remain.	Contribution-ratio in~(1) equals the ratio of contributions to the target project over the sum of contributions to all available projects per treatment. Threshold-ratio in~(2) equals the ratio of thresholds reached of the target project over the sum of thresholds reached of all available projects per treatment.	Treatment names represent dummy variables, with BEN as the omitted reference treatment.
\end{table}








\clearpage
\section*{Figures online appendix}


\vspace*{2cm}


% Figure 1A
\renewcommand{\thefigure}{1A}
\begin{figure}[!ht]
\centering
\begin{tikzpicture}
\begin{axis}[
axis on top,
axis x line*=middle,axis y line*=left,
width=15cm,height=5cm,
ybar interval,ylabel={Frequency},xlabel={Hours elapsed since the start of the game},
xtick={0,16,40,64,86},
xticklabel=
\pgfmathprintnumber\tick--\pgfmathprintnumber\nexttick
]
\addplot+[hist={bins=86,data min=0,data max=86}]
table[y index=0] {figuredata/fig1A.txt};
\node at ( 8,113) {\footnotesize\textcolor{gray}{Day 1}};
\node at (28,113) {\footnotesize\textcolor{gray}{Day 2}};
\node at (52,113) {\footnotesize\textcolor{gray}{Day 3}};
\node at (75,113) {\footnotesize\textcolor{gray}{Day 4}};
\end{axis}
\end{tikzpicture}
\caption{Conservation experiment: Investment frequency across all treatments in one-hour bins. Hour~0 corresponds to THU 8 a.m.\ and hour~86 corresponds to SUN 10 p.m. Compare Figure~1.}
\end{figure}


% Figure 2A
\renewcommand{\thefigure}{2A}
\begin{figure}[!ht]
\centering
\begin{tikzpicture}
\begin{axis}[
axis on top,
axis x line*=middle,axis y line*=left,
width=9cm,height=5cm,
ybar,ylabel={Frequency},xlabel={Tokens invested},
xtick={0,5,10,20,34},
x tick style={shift={(axis cs:0.5,0)}},
]
\addplot+[hist={bins=35,data max=35}]
table[y index=0] {figuredata/fig2A.txt};
\end{axis}
\end{tikzpicture}
\caption{Conservation experiment: Frequency distribution of the number of tokens invested across all treatments. Compare Figure~2.}
\end{figure}


% Figure 3A
\renewcommand{\thefigure}{3A}
\begin{figure}[!ht]
\centering
\begin{tikzpicture}
\begin{axis}[
axis on top,
axis x line*=middle,axis y line*=left,
width=15cm,height=4cm,
ybar,ylabel={Frequency},xlabel={Project over-investment},
xtick={-90,-34,0,34},
]
\addplot+[hist={bins=125,data min=-90,data max=34}]
table[y index=0] {figuredata/fig3Apart1.txt};
\addplot+[hist={bins=125,data min=-90,data max=34}]
table[y index=0] {figuredata/fig3Apart2.txt};
\node at (-45,30) {\footnotesize\textcolor{gray}{Under-investment}};
\node at (24,30) {\footnotesize\textcolor{gray}{Over-investment}};
\end{axis}
\end{tikzpicture}
\caption{Conservation experiment: Frequencies of project over-investment across all treatments. Compare Figure~3.}
\end{figure}




\end{document}
